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Coordination chemistry is the study of compounds that feature a central metal atom or ion bonded to a surrounding array of molecules or anions, known as ligands. These species, called coordination compounds, are prevalent in nature and are central to modern technology and medicine. For instance, the hemoglobin in our blood that transports oxygen is a coordination compound.

In the example of the linkage isomers in the exercise, \(\left[\mathrm{PtCl}_{3}(\mathrm{SCN})\right]^{2-}\), we see how the central metal ion, platinum, coordinates with chloride ions and a thiocyanate ion (SCN). Ligands, like SCN, that can bind to the metal center through two different atoms give rise to the phenomenon of linkage isomerism. This particularity is crucial because each isomer can display distinct chemical and physical properties, leading to varied applications in catalysis, materials science, and pharmaceuticals.

Understanding the orientation of ligands and the ability to depict these structures is vital for students of coordination chemistry, as it determines the reactivity and function of the coordination compound.

Inorganic chemistry involves the study of the behavior and synthesis of inorganic and organometallic compounds. This field covers all chemical compounds except the myriad organic compounds, which are the subjects of organic chemistry. It has applications across all facets of the chemical industry, including catalysis, materials science, pigments, surfactants, medications, fuels, and agriculture.

In relation to linkage isomers, as highlighted in the exercise with \(\left[\mathrm{PtCl}_{3}(\mathrm{SCN})\right]^{2-}\), inorganic chemistry provides insights into how such compounds are synthesized and what properties they possess. Students of inorganic chemistry need to acquire a good grasp of principles related to molecular structure, bonding, reactivity, and analysis of complex ions. These principles are exemplified by the formation of different linkage isomers through the variable bonding sites of the thiocyanate ligand.

Molecular structure refers to the three-dimensional arrangement of atoms within a molecule. In coordination compounds, the molecular structure is defined not just by the spatial arrangement of the ligands around the metal center but also by which atoms of the ligands are directly bonded to the metal.

When considering linkage isomers, such as the ones shown in the given exercise, \(\left[\mathrm{PtCl}_{3}(\mathrm{SCN})\right]^{2-}\), the molecular structure is fundamental in determining the isomer's properties, including colors, magnetic behavior, and biological activity. The orientation of the SCN ligand in the two isomers results in different three-dimensional structures, with the metal-ligand bonding being a distinct point of variation. Recognizing and understanding these variations is key to grasping how linkage isomers can be used in different contexts, impacting reactivity and the potential for application in fields such as bioinorganic chemistry.